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Explicit solution for a class of coupled hyperbolic systems of conservation laws

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ABSTRACT Under suitably generalized Rankine–Hugoniot relation and entropy condition, by introducing a convex hull of potential function, the global explicit solution for the Cauchy problem to a class of coupled… Click to show full abstract

ABSTRACT Under suitably generalized Rankine–Hugoniot relation and entropy condition, by introducing a convex hull of potential function, the global explicit solution for the Cauchy problem to a class of coupled hyperbolic systems of conservation laws, which involves the piecewise initial value problem as a special case, is constructively obtained in the measure space.

Keywords: explicit solution; hyperbolic systems; class coupled; systems conservation; coupled hyperbolic; conservation laws

Journal Title: Applicable Analysis
Year Published: 2019

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